Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds

DOI10.1137/17M1124644zbMath1382.34056arXiv1708.08206OpenAlexW2964254078MaRDI QIDQ4601598

Haidar Mohamad, Marcel Oliver, Georg A. Gottwald

Publication date: 17 January 2018

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08206

zbMATH Keywords

adiabatic invarianceexponential asymptoticsoptimal balancetwo-scale Hamiltonian systems

Mathematics Subject Classification ID

Related Items (4)

Miracles, misconceptions and scotomas in the theory of solitary waves ⋮ Optimal balance for rotating shallow water in primitive variables ⋮ A comparison of methods to balance geophysical flows ⋮ Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging

Cites Work

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• Optimal potential vorticity balance of geophysical flows
• Exponential averaging for Hamiltonian evolution equations
• Balance and Spontaneous Wave Generation in Geophysical Flows
• Variational asymptotics for rotating shallow water near geostrophy: a transformational approach

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